GCF of 8023/805, 2018/9870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8023/805, 2018/9870 i.e 1/227010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8023/805, 2018/9870.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8023/805,2018/9870?
Given fractions are 8023/805,2018/9870
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8023/805,2018/9870, numerators are 8023,2018
Denominators are 805,9870
The GCF of 8023,2018 is 1 .
LCM of 805,9870 is 227010.
The greatest common factor of 8023/805,2018/9870 = [GCF of 8023,2018]/[LCM of 805,9870]= 1/227010
Therefore, the GCF of 8023/805,2018/9870 is 1/227010.
To find the highest common factor of 8023,2018, we have to find the factors of both numbers and list the highest common factor.
The factors of 8023 are 1, 71, 113, 8023
The factors of 2018 are 1, 2, 1009, 2018
The HCF of 8023,2018 is 1.
Lets's calculate GCF of 8023,2018
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8023,2018 By Matching Biggest Common Factor Method
Now, list down the factors of 8023
:1,71,113,8023
Now, list down the factors of 2018
:1,2,1009,2018
Greatest Common Factor
We found the factors 8023,2018 . The biggest common factor number is the GCF number.
So the greatest common factor 8023,2018 is 1.
Lets's calculate LCM of 805,9870
| 5 | 805, 9870 |
| 7 | 161, 1974 |
| 23, 282 |
∴ So the LCM of the given numbers is 5 x 7 x 23 x 282 = 227010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227010
Therefore, the GCF of Fractions 8023/805,2018/9870 is 1/227010
Least Common Multiple of 805,9870 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 805,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,9870) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(805,9870) x common factors =35 x 1 = 35
LCM(805,9870) = ( 805 × 9870 ) / 35
LCM(805,9870) = 7945350 / 35
LCM(805,9870) = 227010
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FAQs on GCF of Fractions of 8023/805, 2018/9870
1. What is the HCF of 8023,2018?
The HCF of 8023,2018 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8023/805, 2018/9870?
Answer: GCF of Numerators as per given numbers 8023/805, 2018/9870 is
GCF of Numerators i.e. for 8023,2018 is 1
LCM of denominators i.e. for 805,9870 is 227010.
Thus, GCF of Fractions is 1/227010.Finally, GCF of Fractions for 8023/805, 2018/9870 is 1/227010.